5916920800 has 144 divisors (see below), whose sum is σ = 16558940160. Its totient is φ = 2022428160.

The previous prime is 5916920797. The next prime is 5916920819. The reversal of 5916920800 is 80296195.

It is a super-3 number, since 3×5916920800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2053761 + ... + 2056639.

It is an arithmetic number, because the mean of its divisors is an integer number (114992640).

Almost surely, 2^5916920800 is an apocalyptic number.

5916920800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5916920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279470080).

5916920800 is an abundant number, since it is smaller than the sum of its proper divisors (10642019360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5916920800 is a wasteful number, since it uses less digits than its factorization.

5916920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 5916920800 is about 76921.5236458561. The cubic root of 5916920800 is about 1808.6946419751.

The spelling of 5916920800 in words is "five billion, nine hundred sixteen million, nine hundred twenty thousand, eight hundred".